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Finding the Fourth Proportional to 9,301.80, 13,939.74 and 7,224.16

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Solution

The fourth proportional to 9,301.80, 13,939.74 and 7,224.16 is: 10,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.80 : 13,939.74 = 7,224.16 : x
  2. Step 2: Convert to fraction form
    9,301.80/13,939.74 = 7,224.16/x
  3. Step 3: Cross multiply
    9,301.80x = 13,939.74 × 7,224.16
  4. Step 4: Simplify right side
    9,301.80x = 100,702,912.12
  5. Step 5: Solve for x
    x = 100,702,912.12/9,301.80
  6. Step 6: Final answer
    x = 10,826.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.